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by Cliffs Quick Review Publishing Staff

Edition: 03Copyright: 2003

Publisher: Cliffs Notes, Inc.

Published: 2003

International: No

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We take great notes-and make learning a snap

When it comes to pinpointing the stuff you really need to know, nobody does it better than CliffsNotes. This fast, effective tutorial helps you master core Calculus concepts-from functions, limits, and derivatives to differentials, integration, and definite integrals- and get the best possible grade.

At CliffsNotes, we're dedicated to helping you do your best, no matter how challenging the subject. Our authors are veteran teachers and talented writers who know how to cut to the chase- and zero in on the essential information you need to succeed.

Make the grade with CliffsQuickReviews

CliffsQuickReviews are available for more than 30 introductory level courses. See inside for a complete listing of these and other bestselling Cliffs titles.

Why You Need This Book.

How to Use This Book.

Using Calculus 7e by Anton/Bivens/Davis (ABD) with CQR.

**Chapter 1: Review Topics. **

Interval Notation.

Absolute Value.

Functions.

Linear Equations.

Trigonometric Functions.

Intuitive Definition.

Evaluating Limits.

One-sided Limits.

Infinite Limits.

Limits at Infinity.

Limits Involving Trigonometric Functions.

Continuity.

Definition.

Differentiation Rules.

Trigonometric Function Differentiation.

Chain Rule.

Implicit Differentiation.

Higher Order Derivatives.

Differentiation of Inverse Trigonometric Functions.

Differentiation of Exponential and Logarithmic Functions.

Tangent and Normal Lines.

Critical Points.

Extreme Value Theorem.

Mean Value Theorem.

Increasing/Decreasing Functions.

First Derivative Test for Relative Extrema.

Second Derivative Test for Relative Extrema.

Concavity and Points of Inflection

Maximum/Minimum Problems.

Distance, Velocity, and Acceleration.

Related Rates of Change.

Differentials.

Antiderivatives/Indefinite Integrals.

Integration Techniques.

Basic formulas.

Substitution and change of variables.

Integration by parts.

Trigonometric integrals.

Distance, Velocity, and Acceleration.

Definite Integrals.

Definition of definite integrals.

Properties of definite integrals.

The Fundamental Theorem of Calculus.

Definite integral evaluation.

Area.

Volumes of Solids with Known Cross Sections.

Volumes of Solids of Revolution.

Disk method.

Washer method.

Cylindrical shell method.

Arc Length.

CQR Review.

CQR Resource Center.

Glossary.

Appendix: Using Graphing Calculators in Calculus.

Limits.

Derivatives.

Integrals.

Index.

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Summary

We take great notes-and make learning a snap

When it comes to pinpointing the stuff you really need to know, nobody does it better than CliffsNotes. This fast, effective tutorial helps you master core Calculus concepts-from functions, limits, and derivatives to differentials, integration, and definite integrals- and get the best possible grade.

At CliffsNotes, we're dedicated to helping you do your best, no matter how challenging the subject. Our authors are veteran teachers and talented writers who know how to cut to the chase- and zero in on the essential information you need to succeed.

Make the grade with CliffsQuickReviews

CliffsQuickReviews are available for more than 30 introductory level courses. See inside for a complete listing of these and other bestselling Cliffs titles.

Table of Contents

Why You Need This Book.

How to Use This Book.

Using Calculus 7e by Anton/Bivens/Davis (ABD) with CQR.

**Chapter 1: Review Topics. **

Interval Notation.

Absolute Value.

Functions.

Linear Equations.

Trigonometric Functions.

Intuitive Definition.

Evaluating Limits.

One-sided Limits.

Infinite Limits.

Limits at Infinity.

Limits Involving Trigonometric Functions.

Continuity.

Definition.

Differentiation Rules.

Trigonometric Function Differentiation.

Chain Rule.

Implicit Differentiation.

Higher Order Derivatives.

Differentiation of Inverse Trigonometric Functions.

Differentiation of Exponential and Logarithmic Functions.

Tangent and Normal Lines.

Critical Points.

Extreme Value Theorem.

Mean Value Theorem.

Increasing/Decreasing Functions.

First Derivative Test for Relative Extrema.

Second Derivative Test for Relative Extrema.

Concavity and Points of Inflection

Maximum/Minimum Problems.

Distance, Velocity, and Acceleration.

Related Rates of Change.

Differentials.

Antiderivatives/Indefinite Integrals.

Integration Techniques.

Basic formulas.

Substitution and change of variables.

Integration by parts.

Trigonometric integrals.

Distance, Velocity, and Acceleration.

Definite Integrals.

Definition of definite integrals.

Properties of definite integrals.

The Fundamental Theorem of Calculus.

Definite integral evaluation.

Area.

Volumes of Solids with Known Cross Sections.

Volumes of Solids of Revolution.

Disk method.

Washer method.

Cylindrical shell method.

Arc Length.

CQR Review.

CQR Resource Center.

Glossary.

Appendix: Using Graphing Calculators in Calculus.

Limits.

Derivatives.

Integrals.

Index.

Publisher Info

Publisher: Cliffs Notes, Inc.

Published: 2003

International: No

Published: 2003

International: No

When it comes to pinpointing the stuff you really need to know, nobody does it better than CliffsNotes. This fast, effective tutorial helps you master core Calculus concepts-from functions, limits, and derivatives to differentials, integration, and definite integrals- and get the best possible grade.

At CliffsNotes, we're dedicated to helping you do your best, no matter how challenging the subject. Our authors are veteran teachers and talented writers who know how to cut to the chase- and zero in on the essential information you need to succeed.

Make the grade with CliffsQuickReviews

CliffsQuickReviews are available for more than 30 introductory level courses. See inside for a complete listing of these and other bestselling Cliffs titles.

How to Use This Book.

Using Calculus 7e by Anton/Bivens/Davis (ABD) with CQR.

**Chapter 1: Review Topics. **

Interval Notation.

Absolute Value.

Functions.

Linear Equations.

Trigonometric Functions.

Intuitive Definition.

Evaluating Limits.

One-sided Limits.

Infinite Limits.

Limits at Infinity.

Limits Involving Trigonometric Functions.

Continuity.

Definition.

Differentiation Rules.

Trigonometric Function Differentiation.

Chain Rule.

Implicit Differentiation.

Higher Order Derivatives.

Differentiation of Inverse Trigonometric Functions.

Differentiation of Exponential and Logarithmic Functions.

Tangent and Normal Lines.

Critical Points.

Extreme Value Theorem.

Mean Value Theorem.

Increasing/Decreasing Functions.

First Derivative Test for Relative Extrema.

Second Derivative Test for Relative Extrema.

Concavity and Points of Inflection

Maximum/Minimum Problems.

Distance, Velocity, and Acceleration.

Related Rates of Change.

Differentials.

Antiderivatives/Indefinite Integrals.

Integration Techniques.

Basic formulas.

Substitution and change of variables.

Integration by parts.

Trigonometric integrals.

Distance, Velocity, and Acceleration.

Definite Integrals.

Definition of definite integrals.

Properties of definite integrals.

The Fundamental Theorem of Calculus.

Definite integral evaluation.

Area.

Volumes of Solids with Known Cross Sections.

Volumes of Solids of Revolution.

Disk method.

Washer method.

Cylindrical shell method.

Arc Length.

CQR Review.

CQR Resource Center.

Glossary.

Appendix: Using Graphing Calculators in Calculus.

Limits.

Derivatives.

Integrals.

Index.